A Note on Knot Invariants and q-Deformed 2d Yang-Mills
arXiv:hep-th/0509167 · doi:10.1016/j.physletb.2006.01.014
Abstract
We compute expectation values of Wilson loops in q-deformed 2d Yang-Mills on a Riemann surface and show that they give invariants of knots in 3-manifolds which are circle bundles over the Riemann surface. The areas of the loops play an essential role in encoding topological information about the extra dimension, and they are quantized to integer or half integer values.
12 pages, 1 figure. v2: added references, typos corrected
References in corpus (12)
- Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings
- Two Dimensional Yang-Mills, Black Holes and Topological Strings
- Derivation of Calabi-Yau Crystals from Chern-Simons Gauge Theory
- Brownian Motion, Chern-Simons Theory, and 2d Yang-Mills
- Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory
- Phase transitions in q-deformed 2d Yang-Mills theory and topological strings
- BPS Microstates and the Open Topological String Wave Function
- Discrete and oscillatory Matrix Models in Chern-Simons theory
- Chern-Simons Theory, 2d Yang-Mills, and Lie Algebra Wanderers
- Chern-Simons Theory in Lens Spaces from 2d Yang-Mills on the Cylinder
- A DK Phase Transition in q-Deformed Yang-Mills on S^2 and Topological Strings
- Diffusion of Wilson Loops
Cited by in corpus (11)
- Chern-Simons Theory on S^1-Bundles: Abelianisation and q-deformed Yang-Mills Theory
- Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
- Level-rank duality of the U(N) WZW model, Chern-Simons theory, and 2d qYM theory
- 3d-3d Correspondence Revisited
- Localization for Wilson Loops in Chern-Simons Theory
- An analytic Approach to Turaev's Shadow Invariant
- Large N Expansion of q-Deformed Two-Dimensional Yang-Mills Theory and Hecke Algebras
- Wilson punctured network defects in 2D q-deformed Yang-Mills theory
- Surface-Invariants in 2D Classical Yang-Mills Theory
- Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons Theory on Torus Bundles
- Topological Rényi and Entanglement Entropy for a 2d q-deformed Yang-Mills theory and its Chern-Simons dual